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The influence of the boundary behaviour on hypersurfaces with constant mean curvature in H n+1

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Manfredo P. do Carmo – Selected Papers

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Abstract

This paper deals with complete, properly embedded hypersurfaces M n with constant mean curvature H of the hyperbolic space H n+1, and addresses itself to the following general question. How is the behaviour of such hypersurfaces influenced by their behaviour at infinity?

The third author was supported by the exchange program of GMD (Germany) and CNPq (Brazil).

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References

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Author information

Authors and Affiliations

  1. IMPA, Estrada Dona Castorina, 110, 22460, Rio de Janeiro, RJ, Brasil

    M. P. do Carmo, J. de M. Gomes & G. Thorbergsson

Authors
  1. M. P. do Carmo
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  2. J. de M. Gomes
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  3. G. Thorbergsson
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Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Brasília, Brasilia, 70910-900, Brazil

    Keti Tenenblat

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© 2012 Springer-Verlag Berlin Heidelberg

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Carmo, M.P.d., de M. Gomes, J., Thorbergsson, G. (2012). The influence of the boundary behaviour on hypersurfaces with constant mean curvature in H n+1 . In: Tenenblat, K. (eds) Manfredo P. do Carmo – Selected Papers. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25588-5_20

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